Capacity and Performance Analysis of Roundabout Metering Signals TRB National Roundabout Conference Vail, Colorado, USA, 22-25 May 2005 Pictures modified to show driving on the right-hand side of the road Rahmi Akçelik Director, Akcelik & Associates Pty Ltd Adjunct Professor, Monash University 1
Metering Signals Cost-effective measure to avoid the need for a fully-signalized intersection treatment when low capacity conditions occur during peak demand flow periods, for example due to unbalanced flow patterns. Often installed on selected roundabout approaches and used on a part-time basis since they are required only when heavy demand conditions occur during peak periods. Used in Australia, UK and USA to alleviate the problem of excessive delay and queuing by creating gaps in the circulating stream. The Australian roundabout and traffic signal guides acknowledge the problem and discuss the use of metering signals. 2
Roundabout Problems? - Australia 3
Roundabout Problems? - New Zealand "Two roundabouts top the list" 4
Roundabout Problems? - UK "Councilor A.H. says installing traffic lights at the five-exit Green Road roundabout has become urgent priority. Funeral directors are among those backing his appeal" 5
This paper The basic principles of the operation of roundabout metering signals explained Results of analysis of a case study of a roundabout operating with metering signals presented Other case studies published (see the ITE 2004 paper by the author) Country Australia UK USA Roundabout size 1-lane 2-lane 3-lane Demand volumes Large Small 1700 to 5300 veh/h 6
Roundabout capacity and performance Complex interactions among the geometry, driver behavior, traffic stream and control factors determine the roundabout capacity and performance. The level of traffic performance itself can influence driver behavior, increasing the complexity of modeling roundabout operations. 7
Roundabout capacity and performance aasidra used in the analyses reported in this paper employs an empirical gap-acceptance method to model roundabout capacity and performance. The model allows for the effects of both roundabout geometry and driver behaviour, and it incorporates effects of priority reversal (low critical gaps at high circulating flows), priority emphasis (unbalanced O-D patterns), and unequal lane use (both approach and circulating lanes). CAPACITY can be measured as a service rate for each traffic lane in undersaturated conditions (v/c ratios less than 1) according to the HCM definition of capacity to represent "prevailing conditions". This is in contrast with measuring approach capacity in oversaturated conditions. β + Δ > α Δ α β α = critical gap (headway) β = follow-up headway Δ = intra-bunch headway Gap-acceptance parameters are NOT fixed, but vary with roundabout geometry and flow rates. 8
Origin-destination demand flow pattern The operation of a roundabout is a closed-loop system where the conditions of traffic streams entering from approach roads affect traffic on other approaches (not just the circulating flow rate). As a result, important factors that influence the capacity and performance of traffic on roundabout approach roads: Origin-Destination pattern of arrival (demand) flows Approach and circulating lane use Related issues discussed in the paper: priority reversal and priority emphasis 9
O-D factor method (aasidra) Treating the roundabout as a series of independent T-junctions is not good enough (capacity constraint on circulating flows is not sufficient). Model interactions among approach flows Circulating Entering 10
O-D factor method (aasidra) Traditional methods may be adequate for low flow conditions, the O-D factor improves the prediction of capacities under medium to heavy flow conditions, especially with unbalanced demand flows. The O-D factor helps to avoid capacity overestimation under such conditions as observed at many real-life intersections. Overoptimistic results without the O-D factor method. This represents a substantial change to the method described in the Australian Roundabout Guide from which aasidra originated. Same with other methods (HCM, TRL). 11
Unbalanced demand flows reduce capacity Total Circulating Flow = 1000 Pattern A: BALANCED Flow 1 = 500 Flow 2 = 500 Pattern B: WEST Dominant Flow 1 = 100 Flow 2 = 900 Pattern C: NORTH Dominant Flow 1 = 900 Flow 2 = 100 LESS capacity Dominant flow in 2 lanes Dominant flow in 1 lane Flow 1 (in 1 lane) West Flow 2 (in 2 lanes) North South Entry flow East Total Circulating Flow 12
Effect of the O-D pattern Different capacities and levels of performance may be estimated for the same circulating flow rate depending on the conditions of the component streams. The lowest capacity is obtained when: o o o main opposing stream is a very large proportion of the total circulating flow (unbalanced), it is in a single lane, and is highly queued on the approach lane it originates from. 13
Priority Emphasis - What is it? Grange Rd, St Georges Rd and Alexandra Avenue in Toorak, Melbourne, Australia (photo modified for driving on the right-hand side of the road) 14
Huddart, UK (1983) " the proper operation of a roundabout depends on there being a reasonable balance between the entry flows. an uninterrupted but not very intense stream of circulating traffic can effectively prevent much traffic from entering at a particular approach." "The capacity of roundabouts is particularly limited if traffic flows are unbalanced. This is particularly the case if one entry has very heavy flow and the entry immediately before it on the roundabout has light flow so that the heavy flow proceeds virtually uninterrupted. This produces continuous circulating traffic which therefore prevents traffic from entering on subsequent approaches." 15
Priority Emphasis Dominant heavy circulating flows that originate mostly from a single approach with high levels of queuing and unequal lane use, cause PRIORITY EMPHASIS. A dominant flow restricts the amount of entering traffic since most vehicles in the circulating stream have entered from a queue at the upstream approach continuously due to a low circulating flow rate against them. Without allowance for priority emphasis, any method based on gap-acceptance modeling with or without limited-priority process, or any comparable empirical method, fails to provide satisfactory estimates of roundabout capacity with unbalanced flows. 16
Priority Emphasis β u Δ Queued traffic from upstream entries Entering Circulating The O-D Factor reduces the UNBLOCK TIME due to priority emphasis that occurs with unbalanced flow conditions. β u = upstream entry follow-up headway Δ = intra-bunch headway 17
Roundabout Part-time Metering Signals Typical arrangements with metering signals with an example from Melbourne, Australia STOP HERE ON RED SIGNAL Metered approach US Customary Units Stop line setback distance (50-80 ft) Controlling approach Queue detector setback distance (150-400 ft) Queue detector Metered approach 18
Use of pedestrian-actuated signals for roundabout metering (Fitzsimons Lane - Porter St Roundabout, Melbourne, Australia) STOP HERE ON RED SIGNAL SIGNALS MAY BE CALLED BY PORTER ST TRAFFIC 19
Use metering signals at the Clearwater roundabout, Florida, USA 20
Typical design and control parameters used for roundabout metering signals Metered approach Signal stop-line setback distance Detector setback distance (if detector is used) Loop length (if detector is used) Minimum blank time setting Maximum blank extension time settings Blank signal gap setting Yellow time All-red time 14-24 m (46-79 ft) 2.5 m (8 ft) 4.5 m (15 ft) 20-50 s 30 s 3.5 s 4.0 s 1.0-2.0 s 21
Typical design and control parameters used for roundabout metering signals Controlling approach Queue detector setback distance Loop length for the queue detector Minimum red time setting Maximum red extension time settings Queue detector gap setting Queue detector occupancy setting: t oq Yellow time: t yr All-red time: t arr 50-120 m (164-394 ft) 4.5 m (15 ft) 10-20 s 20-60 s 3.0-3.5 s 4.0-5.0 s 3.0-4.0 s 1.0-2.0 s 22
Case Study: Mickleham Rd and Broadmeadows Rd Roundabout, Melbourne, Australia N 1010 Broadmeadows Road 900 R L 110 13 R 490 1900 1400 1200 1410 33 164 T 10 HEAVY L MEDIUM 13 Mickleham Road 33 BASE Conditions LOW 120 Volume data modifed Mickleham Road 13 L 1200 HEAVY T 200 1400 Metering signals on this approach Peaking parameters: T = 60 min T p = 30 min PFF = 1.00 No Heavy Vehicles US Customary Units 23
Mickleham Rd South Metering signals (blank) Photos during off-peak conditions 24
Mickleham Rd North 25
Broadmeadows Road 26
The Analysis Method (aasidra) Three operation scenarios: Base Conditions: metering signals BLANK (normal operation) Metering signals RED: metered approach traffic stopped the rest of roundabout operates according to normal roundabout rules Signalized intersection scenario to emulate the operation of metered approach signals (phasing information with red and blank phases) 27
Metering signals RED N Broadmeadows Road 490 1900 10 Mickleham Road 1400 1010 0 110 900 1410 120 Mickleham Road No vehicles entering from this approach 28
Signalized intersection scenario Phase A (Blank signals) Phase B (Red signals) Effective blank time = 72 s Cycle time = 120 s Blank time ratio =0.60 Effective red time = 48 s Cycle time = 120 s Red time ratio =0.40 29
Without metering signals (Base condition) App. ID Approach Name Dem Flow (veh/h) Deg. of sat. (v/c ratio) Aver Delay (sec) Level of Service CO2 (kg/h) Oper. Cost ($/h) S Mickleham Rd NB 1400 0.48 12.1 B 373.4 363.52 N Mickleham Rd SB 1900 1.06 82.8 F 708.8 904.14 NW Broadmeadows Rd 1010 0.82 17.9 B 284.4 278.92 Intersection 4310 1.06 44.6 D 1366.6 1546.58 With metering signals (Red Signal 40% of the time) App. ID Approach Name Dem Flow (veh/h) Deg. of sat. (v/c ratio) Aver Delay (sec) Level of Service CO2 (kg/h) Oper. Cost ($/h) S Mickleham Rd NB 1400 0.79 31.7 C 408.80 437.92 N Mickleham Rd SB 1900 0.77 52.4 D 612.24 720.94 NW Broadmeadows Rd 1010 0.68 15.7 B 278.48 271.10 Intersection 4310 0.79 37.1 D 1299.52 1429.96 30
Benefits from metering signals for the Mickleham Rd and Broadmeadows Rd Roundabout 31
Conclusions for Research & Development The analysis method described is an approximate one. It is possible that benefits from the metering signals are higher than indicated in this paper considering dynamic variations in demand flows. A more comprehensive method has been developed and will be included in a future version of aasidra. Field observations are recommended on driver behavior at roundabouts subject to metering signal control. 32
Conclusions for PRACTICE Improved understanding and MODELING of the effect of unbalanced flow patterns on roundabout capacity and level of service is important: Design new roundabouts that will cope with future increases in demand levels Solve any problems resulting from unbalanced flow patterns at existing roundabouts (metering signals to avoid full signalization) Unbalanced flows may not be a problem when the overall demand level is low but problem appears with traffic growth even at medium demand levels (DESIGN LIFE analysis important) Demand flow patterns and demand levels may change significantly after the introduction of a roundabout (no direct control over turning movements unlike signalized intersections) Modeling of origin-destination demand pattern of traffic is important in optimizing the roundabout geometry including approach and circulating lane use. 33
End of presentation Rahmi Akçelik Director, Akcelik & Associates Pty Ltd Adjunct Professor, Monash University 34